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37106441 is a prime number
BaseRepresentation
bin1000110110001…
…1001100001001
32120211012110122
42031203030021
533444401231
63403153025
7630254021
oct215431411
976735418
1037106441
1119a44689
1210515775
1378c2798
144cdca81
1533ce77b
hex2363309

37106441 has 2 divisors, whose sum is σ = 37106442. Its totient is φ = 37106440.

The previous prime is 37106417. The next prime is 37106501. The reversal of 37106441 is 14460173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26050816 + 11055625 = 5104^2 + 3325^2 .

It is a cyclic number.

It is not a de Polignac number, because 37106441 - 214 = 37090057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37106441.

It is not a weakly prime, because it can be changed into another prime (37106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18553220 + 18553221.

It is an arithmetic number, because the mean of its divisors is an integer number (18553221).

Almost surely, 237106441 is an apocalyptic number.

It is an amenable number.

37106441 is a deficient number, since it is larger than the sum of its proper divisors (1).

37106441 is an equidigital number, since it uses as much as digits as its factorization.

37106441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 37106441 is about 6091.5056431066. The cubic root of 37106441 is about 333.5414153009.

The spelling of 37106441 in words is "thirty-seven million, one hundred six thousand, four hundred forty-one".